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Finding the Third Proportional to 473,076 and 1,033,560

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Solution

The third proportional to 473,076 and 1,033,560 is: 2,258,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,076 : 1,033,560 = 1,033,560 : x
  2. Step 2: Convert to fraction form
    473,076/1,033,560 = 1,033,560/x
  3. Step 3: Cross multiply
    473,076x = 1,033,560 × 1,033,560
  4. Step 4: Simplify right side
    473,076x = 1,068,246,273,600
  5. Step 5: Solve for x
    x = 1,068,246,273,600/473,076
  6. Step 6: Final answer
    x = 2,258,085.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.